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This book opens with an explanation of the vibrations of a single degree-of-freedom (dof) system for all beginners. Subsequently, vibration analysis of multi-dof systems is explained by modal analysis. Mode synthesis modeling is then introduced for system reduction, which aids understanding in a simplified manner of how complicated rotors behave. Rotor balancing techniques are offered for rigid and flexible rotors through several examples. Consideration of gyroscopic influences on the rotordynamics is then provided and vibration evaluation of a rotor-bearing system is emphasized in terms of forward and backward whirl rotor motions through eigenvalue (natural frequency and damping ratio) analysis. In addition to these rotordynamics concerning rotating shaft vibration measured in a stationary reference frame, blade vibrations are analyzed with Coriolis forces expressed in a rotating reference frame. Other phenomena that may be assessed in stationary and rotating reference frames include stability characteristics due to rotor internal damping and instabilities due to asymmetric shaft stiffness and thermal unbalance behavior.

Vibrations in Rotating Machinery. Vol.I: Basic Rotordynamics: Introduction to Practical Vibration Analysis

Introduction.- Single degree-of-freedom rotor.- Modal analysis for multi degree-of-freedom rotor.- Mode synthesis and related modeling.- Unbalance vibration and balancing.- Gyroscopic effects on rotor vibrations.- Approximate eigenvalue evaluation of a rotor-bearing system.- Vibration evaluation using open-loop characteristics.- Transformation from inertial coordinate to rotating coordinate frames of reference.- Vibration of blade and impeller systems.- Basic topics on rotor stability.